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Beliebt Algebra >

x^8=10^{72}

Lösung

x^{8} = 1 0^{72}

Lösung

x = 1000000000, x = - 1000000000, x = - 1 0^{18}, x = - - 1 0^{18}, x = - 1 0^{36}, x = - - 1 0^{36}, x = - - 1 0^{36}, x = - - - 1 0^{36}

Schritte zur Lösung

x^{8} = 1 0^{72}

Schreibe die Gleichung um mit

u = x^{2}

und

u^{4} = x^{8}

u^{4} = 1 0^{72}

Löse

u^{4} = 1 0^{72} : u = 1 0^{18}, u = - 1 0^{18}, u = - 1 0^{36}, u = - - 1 0^{36}

u = 1 0^{18}, u = - 1 0^{18}, u = - 1 0^{36}, u = - - 1 0^{36}

Setze

u = x^{2} w i e d er e in,

löse für

x

Löse

x^{2} = 1 0^{18} : x = 1000000000, x = - 1000000000

Löse

x^{2} = - 1 0^{18} : x = - 1 0^{18}, x = - - 1 0^{18}

Löse

x^{2} = - 1 0^{36} : x = - 1 0^{36}, x = - - 1 0^{36}

Löse

x^{2} = - - 1 0^{36} : x = - - 1 0^{36}, x = - - - 1 0^{36}

Die Lösungen sind

x = 1000000000, x = - 1000000000, x = - 1 0^{18}, x = - - 1 0^{18}, x = - 1 0^{36}, x = - - 1 0^{36}, x = - - 1 0^{36}, x = - - - 1 0^{36}

Graph

Beliebte Beispiele

-x^3+14x^2-42x=0

- x^{3} + 14 x^{2} - 42 x = 0

0 = x^{3} + x^{2} - x - 1

4 x^{3} + 2 x^{2} = 0

2c^4-6c^3=12c^2-36c

2 c^{4} - 6 c^{3} = 12 c^{2} - 36 c

x^4-6x^3+17x^2-24x+52=0

x^{4} - 6 x^{3} + 17 x^{2} - 24 x + 52 = 0